expansion of bessel and g-bessel sequences to dual frames and dual g-frames

Authors

m. s asgari

g kavian

abstract

in this paper we study the duality of bessel and g-bessel sequences in hilbertspaces. we show that a bessel sequence is an inner summand of a frame and the sum of anybessel sequence with bessel bound less than one with a parseval frame is a frame. next wedevelop this results to the g-frame situation.

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Journal title:
journal of linear and topological algebra (jlta)

Publisher: central tehran branch. iau

ISSN 2252-0201

volume 02

issue 01 2013

Keywords

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